What is the Least Common Multiple of 12481 and 12491?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 12481 and 12491 is 155900171.
LCM(12481,12491) = 155900171
Least Common Multiple of 12481 and 12491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12481 and 12491, than apply into the LCM equation.
GCF(12481,12491) = 1
LCM(12481,12491) = ( 12481 × 12491) / 1
LCM(12481,12491) = 155900171 / 1
LCM(12481,12491) = 155900171
Least Common Multiple (LCM) of 12481 and 12491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12481 and 12491. First we will calculate the prime factors of 12481 and 12491.
Prime Factorization of 12481
Prime factors of 12481 are 7, 1783. Prime factorization of 12481 in exponential form is:
12481 = 71 × 17831
Prime Factorization of 12491
Prime factors of 12491 are 12491. Prime factorization of 12491 in exponential form is:
12491 = 124911
Now multiplying the highest exponent prime factors to calculate the LCM of 12481 and 12491.
LCM(12481,12491) = 71 × 17831 × 124911
LCM(12481,12491) = 155900171
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